As shown in figure REF , consider a pair of points parameterized by \(\theta \) , \(\alpha \)  on a time slice of the two-dimensional holographic CFT, which can also be parameterized by \(u\) , \(v\) , where \(u = \theta - \alpha \) , \(v = \theta + \alpha \) . Inspired by Crofton's formula in flat space, [1]}, [2]} proposed that the geodesic \(l(\theta ,\alpha )\)  (or \(l(u,v)\) ) connecting this pair of points can be bijective mapped to a point \((\theta ,\alpha )\)  (or \((u,v)\) ) in a new two-dimensional space, which can then be equipped with a metric by using the generalized Crofton's formula, and go by the name of the holographic kinematic space. In the framework of holographic principle, since the RT formula relates the length of a geodesic in the bulk to the entanglement entropy of boundary CFT, this construction can also be described purely in the language of boundary CFT: The kinematic space is a dual space wherein each point \((\theta ,\alpha )\)  (or \((u,v)\) ) is one-to-one mapped from a pair of points parameterized by \(\theta \) , \(\alpha \)  (or \(u\) , \(v\) ) on the boundary of the original geometry, and its metric (i.e., its spatial volume density) is defined by the conditional mutual information (CMI) [1]}, [2]},
\( d{V_{kin}} = \frac{1}{2}CMI,\) 
